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The backpropagation algorithm, or backprop, is a widely utilized optimization technique in deep learning. While there's growing evidence suggesting that models trained with backprop can accurately explain neuronal data, no backprop-like…

机器学习 · 计算机科学 2024-05-28 Gananath R

This paper reviews gradient-based techniques to solve bilevel optimization problems. Bilevel optimization is a general way to frame the learning of systems that are implicitly defined through a quantity that they minimize. This…

机器学习 · 计算机科学 2023-05-26 Nicolas Zucchet , João Sacramento

Estimating hyperparameters has been a long-standing problem in machine learning. We consider the case where the task at hand is modeled as the solution to an optimization problem. Here the exact gradient with respect to the hyperparameters…

最优化与控制 · 数学 2023-11-16 Matthias J. Ehrhardt , Lindon Roberts

We introduce a framework based on bilevel programming that unifies gradient-based hyperparameter optimization and meta-learning. We show that an approximate version of the bilevel problem can be solved by taking into explicit account the…

机器学习 · 统计学 2018-07-04 Luca Franceschi , Paolo Frasconi , Saverio Salzo , Riccardo Grazzi , Massimilano Pontil

Bilevel learning refers to machine learning problems that can be formulated as bilevel optimization models, where decisions are organized in a hierarchical structure. This paradigm has recently gained considerable attention in machine…

最优化与控制 · 数学 2026-05-05 Riccardo Grazzi , Massimiliano Pontil , Saverio Salzo , Alain Zemkoho

A common practice in most of deep convolutional neural architectures is to employ fully-connected layers followed by Softmax activation to minimize cross-entropy loss for the sake of classification. Recent studies show that substitution or…

机器学习 · 计算机科学 2017-10-23 Arash Shahriari

Backpropagation algorithm is indispensable for the training of feedforward neural networks. It requires propagating error gradients sequentially from the output layer all the way back to the input layer. The backward locking in…

机器学习 · 计算机科学 2018-07-24 Zhouyuan Huo , Bin Gu , Qian Yang , Heng Huang

In this paper, we adopt a probability distribution estimation perspective to explore the optimization mechanisms of supervised classification using deep neural networks. We demonstrate that, when employing the Fenchel-Young loss, despite…

机器学习 · 计算机科学 2025-04-01 Binchuan Qi , Wei Gong , Li Li

Bilevel Optimization Programming is used to model complex and conflicting interactions between agents, for example in Robust AI or Privacy-preserving AI. Integrating bilevel mathematical programming within deep learning is thus an essential…

机器学习 · 计算机科学 2023-03-01 Francesco Alesiani

The back-propagation algorithm is the cornerstone of deep learning. Despite its importance, few variations of the algorithm have been attempted. This work presents an approach to discover new variations of the back-propagation equation. We…

神经与进化计算 · 计算机科学 2018-08-09 Maximilian Alber , Irwan Bello , Barret Zoph , Pieter-Jan Kindermans , Prajit Ramachandran , Quoc Le

This paper presents a novel method for autonomously enhancing deep neural network training. My approach employs an Evaluation Neural Network (ENN) trained via deep reinforcement learning to predict the performance of the target network. The…

机器学习 · 计算机科学 2024-06-18 Ryohei Ino

The development of the back-propagation algorithm represents a landmark in neural networks. We provide an approach that conducts the back-propagation again to reverse the traditional back-propagation process to optimize the input loss at…

机器学习 · 计算机科学 2022-02-15 Weiming Xiong , Ruoyu Yang

Deep learning has revolutionized industries like computer vision, natural language processing, and speech recognition. However, back propagation, the main method for training deep neural networks, faces challenges like computational…

机器学习 · 计算机科学 2023-08-15 Gokulprasath R

In this letter, we consider a bilevel optimization problem in which the outer-level objective function is strongly convex, whereas the inner-level problem consists of a finite sum of convex functions. Bilevel optimization problems arise in…

最优化与控制 · 数学 2026-01-22 Sudkobfa Boontawee , Mootta Prangprakhon , Nimit Nimana

We propose an inference procedure for deep convolutional neural networks (CNNs) when partial evidence is available. Our method consists of a general feedback-based propagation approach (feedback-prop) that boosts the prediction accuracy for…

计算机视觉与模式识别 · 计算机科学 2018-04-02 Tianlu Wang , Kota Yamaguchi , Vicente Ordonez

Training a neural network using backpropagation algorithm requires passing error gradients sequentially through the network. The backward locking prevents us from updating network layers in parallel and fully leveraging the computing…

机器学习 · 计算机科学 2019-05-30 Zhouyuan Huo , Bin Gu , Heng Huang

Bilevel optimization is a powerful tool for many machine learning problems, such as hyperparameter optimization and meta-learning. Estimating hypergradients (also known as implicit gradients) is crucial for developing gradient-based methods…

最优化与控制 · 数学 2025-05-06 Youran Dong , Junfeng Yang , Wei Yao , Jin Zhang

Bilevel programming has recently received attention in the literature due to its wide range of applications, including reinforcement learning and hyper-parameter optimization. However, it is widely assumed that the underlying bilevel…

机器学习 · 计算机科学 2024-10-11 Parvin Nazari , Ahmad Mousavi , Davoud Ataee Tarzanagh , George Michailidis

The canonical formulation of federated learning treats it as a distributed optimization problem where the model parameters are optimized against a global loss function that decomposes across client loss functions. A recent alternative…

机器学习 · 计算机科学 2023-02-09 Han Guo , Philip Greengard , Hongyi Wang , Andrew Gelman , Yoon Kim , Eric P. Xing

We consider a fair representation learning perspective, where optimal predictors, on top of the data representation, are ensured to be invariant with respect to different sub-groups. Specifically, we formulate this intuition as a bi-level…

机器学习 · 计算机科学 2022-05-27 Changjian Shui , Qi Chen , Jiaqi Li , Boyu Wang , Christian Gagné
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